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Jenna has one more logic puzzle to solve!



Write a system of equations to represent this puzzle, using b to represent the value of each book and m to represent the value of each music note. Then solve the system for b and m.

Type the correct answer in each box. Use numerals instead of words.

The value of each book is
.

The value of each music note is
.

Respuesta :

ipenman123

Answer:

The value of each book is 7  

The value of each music note is 6

Step-by-step explanation:

The first equation includes the sum of 3 books and 2 music notes, so 3b + 2m = 33.

The second equation includes the sum of 1 book and 3 music notes, so b + 3m = 25.

This is the system that represents the puzzle:

3b + 2m = 33

b + 3m = 25  

Solve the second equation for b, and then substitute the equivalent expression for b in the first equation.  The value of each music note is 6.

Then, Substitute the value of m into one of the original equations to find the value of b . The value of each book is 7.

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